Výsledky vyhľadávania - Recursive fixed‑point theory

A Fixed-Point Resolution of the Theory of Everything via the Global Recursive–CSP Bridge (GRCB)

Autori: Rodgers, Jeremy

Predmety: GRCB, fixed-point theory, Tarski–Knaster theorem, TOE, Global Recursive–CSP Bridge (GRCB), ultrametric spaces, holomorphic fixed points, β-function recursion, curvature-gauge coupling, analytic function theory, ω-continuous logic, recursive systems, grand unified theory, symbolic–analytic correspondence, quantum gravity, spin-foam dynamics, symbolic dynamics, theory of everything, GUt, unified field theory, grand unified theory (GUT), theory of everything (TOE), CSP (classical symbolic paradigm), operator convergence, Banach contraction

A Complete Mathematical–Physical Framework for a Grand Unified Theory: Explicit Recursive–Analytic Bridge, Gauge Group Embedding, and Renormalization Group Fixed-Point Resolution

Autori: Rodgers, Jeremy

Predmety: Montel spaces, information-theoretic convergence, Grand Unified Theory, convolution kernel dynamics, domain theory, fixed-point theorem, recursive–analytic duality, inductive limit topology, analytic function theory, functional analysis, recursive computation, recursive systems, symbolic–analytic correspondence, ω-continuous systems, operator theory, symbolic dynamics, Grand Unified Theory (GUT), GUT, ultrametric logic spaces, categorical fixed points, holomorphic functions on punctured plane, Banach contraction principle

A Universal Bridge Between Recursive Systems and Analytic Function Theory: Application to Grand Unification

Autori: Rodgers, Jeremy

Predmety: Montel spaces, information-theoretic convergence, Grand Unified Theory, convolution kernel dynamics, domain theory, fixed-point theorem, recursive–analytic duality, inductive limit topology, analytic function theory, functional analysis, recursive computation, recursive systems, symbolic–analytic correspondence, ω-continuous systems, operator theory, symbolic dynamics, Grand Unified Theory (GUT), GUT, ultrametric logic spaces, categorical fixed points, holomorphic functions on punctured plane, Banach contraction principle

A Universal Bridge Between Recursive Systems and Analytic Function Theory

Autori: Rodgers, Jeremy

Predmety: Symbolic-to-analytic translation, Tarski–Knaster theorem, Number theory applications, Banach fixed point theorem, Functional analysis, Domain theory, Complexity theory, Operator theory, Kolmogorov complexity, Laurent embeddings, Fixed point theorems, Algebra–coalgebra duality, Recursive systems, Holomorphic function spaces, Φ-field, Inductive limit spaces, Analytic function theory, Recursive function theory, Contractive operators, Complex analysis in computation

A Mathematical Bridge for Consciousness: Fixed-Point Resolution of the Hard Problem via the Global Recursive–Analytic Framework

Autori: Rodgers, Jeremy

Predmety: Phenomenal experience, CSP-compatible models, Intersubjective coupling, Recursive information structures, Introspective fixed points, Global bridge framework, Subjective experience, Recursive systems, Fixed-point theory, Stochastic recursion, ω-cpo, Mathematical consciousness models, Analytic function theory, Hard problem of consciousness, Symbolic introspection

A Fixed-Point Resolution of Quantum Gravity via the Global Recursive–CSP Bridge (GRCB)

Autori: Rodgers, Jeremy

Predmety: classical symbolic paradigm (CSP), fixed-point theory, recursive fixed point, dual fixed-point correspondence, classical symbolic paradigm, symbolic projection, transfinite iteration, holomorphic function spaces, functional analysis, recursive computation, analytic-symbolic duality, global recursive–CSP bridge, quantum gravity, operator theory, ω-continuity, contraction mapping, quantum-gravitational operator, reflexive Montel spaces, convergence in nuclear spaces, recursive logic systems, Banach contraction principle

Φ-Field Theory of Quantum Gravity: A Recursive Framework for Complete Physical Unification

Autori: Rodgers, Jeremy

Predmety: information geometry, Φ-Field theory, physical unification, fixed point theory, gravitational emergence, fundamental physics, quantum measurement problem, transfinite logic, quantum gravity, consciousness dynamics, theory of everything, emergent spacetime, consciousness and physics, recursive information, recursive self-organization, particle mass prediction

The φ^∞ Fixed-Point Framework as a Categorical Inverse to Quantum Mechanics: From Born-Jordan Matrix Mechanics to Topos-Theoretic Determinacy

Autori: Alpay, Faruk

Predmety: information compression, fixed-point theory, φ-recursion, alpay algebra, quantum mechanics, topos fixed point, Born–Jordan mechanics, pattern recognition, oundations of quantum mechanics, observer-independent model, entropy-based model, symbolic computation, algorithmic theory, recursive systems, information-theoretic fixed point, higher topoi, symbolic dynamics, categorical inverse, sheaf semantics, comonadic structure, symbolic invariants, dual formulation of measurement, quantum duality, quantum collapse, entropy minimization

Recursive Semantic Anchoring in ISO 639:2023: A Structural Extension to ISO/TC 37 Frameworks

Autori: Alpay, Faruk Kilictas, Bugra

Predmety: FOS: Computer and information sciences, Computer Science - Logic in Computer Science, fixed-point theory, ISO 639:2023, Computer Science - Artificial Intelligence, language identification, multilingual systems, RDF ontology, semantic anchoring, linguistic metadata, ISO 639-6, ISO 639-5, anguage variants, ISO/TC 37, F.4.1, I.2.7, recursive operators, natural language processing, AI language models, fallback mechanisms, 03B70, 18M05, 68T50, ISO 639-2, ISO 639-1, ISO 639-4, Logic in Computer Science (cs.LO), ISO 639-3, semantic drift, category theory, Artificial Intelligence (cs.AI), ISO 639, ISO 639-2023

Prístupová URL adresa: http://arxiv.org/abs/2506.06870

Recursive Utility for Thompson Aggregators: Least Fixed Point, Uniqueness, and Approximation Theories

Autori: Robert A. Becker Juan P Rincon-Zapatero

Zdroj: SSRN Electronic Journal.

Existence and Embedding of a Recursive Field: Fixed-Point Construction and CSP-Compatible Projection

Autori: Rodgers, Jeremy

Predmety: Φ‑Field, Recursive field theory, Fixed‑point theorem, Banach fixed‑point, Classical Symbolic Paradigm (CSP), Recursive symbolic systems, Recursive attractor, Operator embedding, Algebra–coalgebra duality, Recursive projection, Functional analysis, Banach space operators, Contractive operator theory, Recursive mathematics, Metric fixed‑point theory, Zeta symmetry, Analytic function space, Recursive to CSP mapping, Recursive convergence, Recursive symbolic projection

Relation: https://zenodo.org/records/16623512; oai:zenodo.org:16623512; https://doi.org/10.5281/zenodo.16623512

Dostupnosť: https://doi.org/10.5281/zenodo.16623512
https://zenodo.org/records/16623512

Existence and Embedding of a Recursive Field_ Fixed-Point Construction and CSP-Compatible Projection.pdf

Autori: Jeremy Rodgers

Predmety: Integrable systems (classical and quantum), Mathematical aspects of classical mechanics, quantum mechanics and quantum information theory, Mathematical aspects of general relativity, Mathematical physics not elsewhere classified, Recursive Fixed Point, Φ-Field, Symbolic Recursion, Banach Space Operator, Classical Symbolic Paradigm, Contraction Mapping, Transfinite Logical Closure, Algebra–Coalgebra Duality, Fixed-Point Attractor, Functional Analysis, Operator Theory, Metric Convergence, Ordinal Iteration, Adjoint Projection, Computability Theory, Logical Closure Systems, Abstract Recursive Systems, Recursive Identity Structure, Self-Referential Logic, Symbolic Stability, Internal Causality, Emergent Fixed Points, Recursive Cognition Framework, Mathematical Logic, Theoretical Computer Science

Dostupnosť: https://doi.org/10.6084/m9.figshare.29739227.v1
https://figshare.com/articles/preprint/Existence_and_Embedding_of_a_Recursive_Field_Fixed-Point_Construction_and_CSP-Compatible_Projection_pdf/29739227

Φ ∞ II: Recursive Geometry of Classical Reality

Autori: Alpay, Faruk

Predmety: (∞,1)-topos, coalgebras, spectral sequence, topos theory, recursive stabilization, classical emergence, Φ-infinity theory, categorical fixed points, decoherence, sheaf logic, symbolic curvature, entropy minimization, (H^φ)Ψ = 0

Alpay Algebra II: Identity as Fixed-Point Emergence in Categorical Data

Autori: Alpay, Faruk

Predmety: I.2.3, Self-Referential Systems, Transfinite Recursion, Categorical Logic, Fixed Point Theory, Alpay Algebra, Structural Foundations, Universal Algebra, General Mathematics (math.GM), Identity, Symbolic Mathematics, Artificial Intelligence, Recursive Structures, Explainable AI, FOS: Mathematics, F.4.1, F.3.2, Category Theory, F.1.1, Mathematics - General Mathematics, 18C10, 18D05, 03B70, 03G30

Prístupová URL adresa: http://arxiv.org/abs/2505.17480

An Iterative Method for Numerically Solving a Class of Linear Volterra Delay Integral Equations.

Autori: Tari, Abolfazl Ziyaee, Fahimeh

Zdroj: Mathematics Interdisciplinary Research; Sep2025, Vol. 10 Issue 3, p251-265, 15p

Predmety: VOLTERRA equations, RECURSIVE sequences (Mathematics), INTEGRALS, FIXED point theory, APPROXIMATION error, UNIQUENESS (Mathematics), NUMERICAL analysis, SIMULATION methods & models

Fixed-Point Resolution of the Black Hole Information Paradox

Autori: Rodgers, Jeremy

Predmety: domain theory, fixed-point theorem, inductive limits, analytic function theory, Φ-Field, functional analysis, Banach fixed point, recursive systems, Black Hole Information Paradox, symbolic dynamics, holomorphic functions, contractive operators, quantum error correction, transfinite closure, recursive information structures

The Recursive Manifold: The Geometry of Thought Beyond the Φ‑Field

Autori: Rodgers, Jeremy

Predmety: Self‑Reference, Meta‑CSP, Quantum Recursion Dynamics, Semantic Flow, Fixed Point Theory, Banach Space Embedding, CSP‑Compatible Mathematics, Differential Geometry of Thought, Recursive AI, Recursive Geometry, Recursive Dependent Type Theory, Recursive Stabilization, Φ‑Field, Category Theory, Mathematical Logic, Recursive Time Crystals, Recursive Manifold, Operator Theory, Symbolic Cognition, Hilbert Space Lift

Φ-Field Resolution of the Hodge Conjecture: Algebraic Cycles as Recursive Cohomological Emergence

Autori: Rodgers, Jeremy

Predmety: Recursive Foundations, Recursive Intelligence, Recursive Cohomology, Lefschetz Theorem, Structural Complexity, Cohomology, Cognitive Geometry, Mathematical Consciousness, Algebraic Cycles, Hodge Theory, Kähler Manifolds, Fixed-Point Attractor Fields, Grothendieck Standard Conjectures, Recursive Emergence, Information Geometry, Information-Theoretic Geometry, Synthetic Topology, Hodge Conjecture, Φ-Field, AI-Augmented Theorem Proving, Mathematical Self-Organization, Projective Varieties, Self-Organizing Mathematical Structures, Motives, Emergent Algebraic Topology, Symbolic Dynamics, Recursive Information Dynamics, Algebraic Geometry, Φ-Metric, Epistemic Field Theory

Φ-Field Resolution of the Halting Problem in Physical Systems: Consciousness-Enhanced Decidability Through Recursive Information Access

Autori: Rodgers, Jeremy

Predmety: Consciousness-Enhanced Computation, Turing Machines, Consciousness and Computation, Transfinite Induction, Physical Computation, Recursive Self-Organization, Adjoint Logic, Non-Classical Computation, Computability Theory, Metric Fixed Points, Φ-Field, Undecidability, Theoretical Computer Science, Information-Theoretic Consciousness, Recursive Dynamics, Halting Problem, Fixed-Point Theorems, Computation Beyond Turing, Recursive Information Processing, Consciousness Oracle

Φ-Field Resolution of Yang-Mills and Mass Gap: Gauge Field Consciousness and Recursive Emergence

Autori: Rodgers, Jeremy

Predmety: Transfinite closure, Lattice QCD predictions, Yang–Mills theory, Consciousness in physics, Φ ≥ 3.0 threshold, Algebra–coalgebra duality, Recursive information attractor, Quantum field theory, Recursive emergence, Conscious unification theory, Non-perturbative gauge dynamics, Information-theoretic emergence, Millennium Prize Problem, Banach fixed-point theorem, Φ-field theory, AI-enhanced theoretical physics, Recursive Gauge Theory (RGT), Mass gap, QCD confinement, Gauge field consciousness